Finding the Third Proportional to 2,583.56 and 5,546.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.56 : 5,546.81 = 5,546.81 : x
2. Step 2: Convert to fraction form
   2,583.56/5,546.81 = 5,546.81/x
3. Step 3: Cross multiply
   2,583.56x = 5,546.81 × 5,546.81
4. Step 4: Simplify right side
   2,583.56x = 30,767,128.91
5. Step 5: Solve for x
   x = 30,767,128.91/2,583.56
6. Step 6: Final answer
   x = 11,908.80